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1434025440 = 253251576343
BaseRepresentation
bin101010101111001…
…0111110111100000
310200221101001002100
41111132113313200
510414102303230
6354144050400
750352005121
oct12536276740
93627331070
101434025440
116765195a1
12340303a00
1319b132a83
14d864c048
1585d66660
hex55797de0

1434025440 has 144 divisors (see below), whose sum is σ = 4925557728. Its totient is φ = 379911168.

The previous prime is 1434025427. The next prime is 1434025469. The reversal of 1434025440 is 445204341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222909 + ... + 229251.

It is an arithmetic number, because the mean of its divisors is an integer number (34205262).

Almost surely, 21434025440 is an apocalyptic number.

1434025440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462778864).

1434025440 is an abundant number, since it is smaller than the sum of its proper divisors (3491532288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1434025440 is a wasteful number, since it uses less digits than its factorization.

1434025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1434025440 is about 37868.5283579914. The cubic root of 1434025440 is about 1127.6793263802.

Adding to 1434025440 its reverse (445204341), we get a palindrome (1879229781).

The spelling of 1434025440 in words is "one billion, four hundred thirty-four million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 157 160 180 240 288 314 360 471 480 628 720 785 942 1256 1413 1440 1570 1884 2355 2512 2826 3140 3768 4710 5024 5652 6280 6343 7065 7536 9420 11304 12560 12686 14130 15072 18840 19029 22608 25120 25372 28260 31715 37680 38058 45216 50744 56520 57087 63430 75360 76116 95145 101488 113040 114174 126860 152232 190290 202976 226080 228348 253720 285435 304464 380580 456696 507440 570870 608928 761160 913392 995851 1014880 1141740 1522320 1826784 1991702 2283480 2987553 3044640 3983404 4566960 4979255 5975106 7966808 8962659 9133920 9958510 11950212 14937765 15933616 17925318 19917020 23900424 29875530 31867232 35850636 39834040 44813295 47800848 59751060 71701272 79668080 89626590 95601696 119502120 143402544 159336160 179253180 239004240 286805088 358506360 478008480 717012720 1434025440